1950
On the Cesàro summability of integrals
J. London Math. Soc., 25, 289-302, 1950
J. London Math. Soc., 25, 302-315, 1950
1951
On the absolute Cesàro summabilty of integrals
Proc. London Math. Soc., (3)1, 308-326, 1951
1954
J. London Math. Soc., 29, 198-206, 1954
Integration by parts of Cesàro summable integrals
J. London Math. Soc., 29, 276-292, 1954
On the absolute summability of Stieltjes integrals
J. London Math. Soc., 29, 476-486, 1954
1955
On the abscissae of summability of a Dirichlet series
J. London Math. Soc., 30, 68-71, 1955
1956
A theorem on Riesz summability
J. London Math. Soc., 31, 319-324, 1956
1957
On a scale of Abel-type summability methods
Proc. Camb. Phil. Soc., 53, 318-322, 1957
On methods of summability based on power series
Proc. Royal Soc. Edinburgh, 64, 342-349, 1957
1958
A logrithmic method of summability
J. London Math. Soc., 33, 212-220, 1958
J. London Math. Soc., 33, 352-357, 1958
Theorems on some methods of summability
Quart. J. Math. Oxford, (2)9, 310-316, 1958
On multiplication of (C, - $\mu$) summable series
J. London Math. Soc., 33, 441-449, 1958
On Borel-type methods of summability series
Mathematika, 5, 128-133, 1958
1959
On methods of summability base integral functions
Proc. Camb. Phil. Soc., 55, 23-30, 1959
Binary and ternary transformations of sequences
Proc.Edinburgh Math. Soc., 11, 175-181, 1959
On finite difference solutions of two point boundary value problems
Zamp , 10, 221-232, 1959
Proc. Glasgow Math. Assoc., 4, 81-83, 1959
1960
Relations between Borel-type methods of summabilty
J. London Math. Soc., 35, 65-70, 1960
On moment constant methods of summability
J. London Math. Soc., 35, 71-77, 1960
On methods of summability base integral functions II
Proc. Camb. Phil. Soc., 56, 125-131, 1960
On strong and absolute summability
Proc. Glasgow Math. Assoc., 4, 122-139, 1960
Norlund methods of summability associated with polynomials
Proc.Edinburgh Math. Soc., 12, 7--15, 1960
1962
Proc. Glasgow Math. Assoc., 5, 188-196, 1962
1963
On multiplication of Cesaro summable series
J. London Math. Soc., 38, 393-400, 1963
1964
On absolute Riesz summability factors
J. London Math. Soc., 39, 455-465, 1964
1965
On strong Riesz summability factors
J. London Math. Soc., 40, 111-126, 1965
Linear functionals connected with strong Cesàro summability
J. London Math. Soc., 40, 628-634, 1965
On a class of convergent series of positive terms
J. London Math. Soc., 40, 587-588, 1965
1966
On a non-enumerable exceptional set
Amer. Math. Monthly, 73, 288, 1966
On a generalised Cesàro summability method of integral order
Tohoku Math J., 18, 71-73, 1966
Tohoku Math J., 18, 283-298, 1966
1967
On a method of summability equivalent to the Cesàro method
J. London Math. Soc., 42, 339-343, 1967
On Riesz and generalised Cesàro summability of arbitrary positive order
Math. Z., 99, 171-177, 1967
Tohoku Math J., 19, 232-237, 1967
On generalised Cesàro summability
J. Indian Math. Soc., 9, 55-64, 1967
1968
Math. Z., 103, 94-111, 1968
1969
Multiplication theorems for strong Nörlund summability
Math. Z., 107, 33-42, 1969
Scales of logarithmic methods of summability
Canad. Math. Bull., 12, 445-452, 1969
A tauberian theorem for Borel-type methods of summability
Canad. J. Math., 21, 740-747, 1969
Amer. Math. Monthly, 76, 648, 1969
1970
On Riesz and generalised Cesàro summability
J. London Math. Soc., (2)2, 61-66, 1970
On absolute Borel-type methods of summability
Proc. Amer. Math. Soc., 24, 85-89, 1970
1971
On Abel-type methods of summability,
J. Reine Angew. Math, 247, 139-145, 1971
1972
Convergence criteria for bounded sequences
Proc.Edinburgh Math. Soc., (2)19, 99-103, 1972
Divergence criteria for positive series
Amer. Math. Monthly, 79, 1104-1106, 1972
1973
J. Reine Angew. Math, 260, 119-126, 1973
1974
Strict inclusion between strong and ordinary methods of summability
J. Reine Angew. Math, 267, 166-174, 1974
Tauberian theorems for Borel-type methods of summability
Canad. Math. Bull., 17, 167-173, 1974
1975
A tauberian theorem for Borel-type methods of summability
J. Reine Angew. Math, 273, 153-164, 1975
Generalized strong summability of infinite series
J. Reine Angew. Math, 276, 142-147, 1975
1976
Equivalence of Riesz methods of summability
J. London Math. Soc., (2)13, 205-208, 1976
A tauberian theorem for Abelian summability methods
J. Reine Angew. Math, 285, 75-76, 1976
On functional Cesàro and Hölder methods of summability
Canad. J. Math., 28, 1058-1061, 1976
Addendum to "Tauberian theorems for Borel-type methods of summability"
Canad. Math. Bull., 19, 245-246, 1976
On the zeros of the power series (...) with an application to discontinuous Riesz-summability
Canad. Math. Bull., 19, 417-424, 1976
1977
Tauberian theorems for strong and absolute Borel-type methods of summability
Canad. Math. Bull., 20, 161-172, 1977
1978
On certain sequences of plus and minus ones
Canad. J. Math., 30, 170-179, 1978
A sum of reciprocals of least common multiples
Canad. Math. Bull., 20, 117-118, 1978
Tauberian theorems on a scale of Abel-type summability methods
J. Reine Angew. Math, 298, 1--7, 1978
Translates of sequences in sets of positive measure
Canad. Math. Bull., 21, 497-498, 1978
Canad. Math. Bull., 21, 257-265, 1978
1979
Rocky Mountain J. Math, 9, 463-477, 1979
1980
The American Journal of Anatomy, 159, 125-146, 1980
1981
On the relation between the logarithmic and Borel-type summability methods
Canad. Math. Bull., 24(2), 153-159, 1981
Weighted means, generalised Hausdorff matrices and the Borel property
Acta Math. Hung., 37, 29-34, 1981
Tauberian conditions for the equivalence of weighted mean and power series methods of summability
Canad. Math. Bull., 24, 309-316, 1981
Matrix transformations of weakly multiplicative sequences of random variables
J. London Math. Soc., 23, 363-371, 1981
Generalization of the Hausdorff moment problem
Canad. J. Math., 33, 946-960, 1981
Nonlinear Analysis and Applications, na, 33-37, 1981
1982
Tauberian theorems between the logarithmic and Abel-type summability methods
Pacific J. Math., 101, 11--23, 1982
On summability factors for the strong Cesàro method for integrals
Analysis, 2, 7--42, 1982
1983
Transformations of certain sequences of random variables by generalized Hausdorff matrices
Pacific J. Math., 107, 1, 15-26, 1983
Generalized Hausdorff matrices as bounded operators on lp
Math. Z., 183, 483-487, 1983
1984
Nörlund matrices as bounded operators on lp
Arch. Math., 42, 464-469, 1984
1985
Conditions for inclusion between Nörlund summability methods
Acta Math. Hung., 45, 1-2, 151-158, 1985
Convergence of lattice sums and Madelung's constant
J. Math. Phys, 26(11), 2999-3009, 1985
1986
On Cesàro and Abel summability factors for integrals
Canad. J. Math., 38, 2, 453-477, 1986
On absolute generalized Hausdorff summability
Arch. Math., 46, 419-427, 1986
A note on alternating series in several dimensions
Amer. Math. Monthly, 93, 7, 531-539, 1986
On generalized Hausdorff matrices
J. Approx. Theory, 48, 4, 354-360, 1986
1987
A Tauberian theorem concerning weighted means and power series
Proc. Camb. Phil. Soc., 101, 283-286, 1987
Tauberian and other theorems concerning Dirichlet's series with non-negative coefficients
Proc. Camb. Phil. Soc., 102, 517-532, 1987
1988
A Tauberian theorem concerning Borel-type and Cesàro methods of summability
Canad. J. Math., 40, 1, 228-247, 1988
On Cesàro and Borel-type summability
Proc. Amer. Math. Soc., 103, 4, 1108-1112, 1988
1989
Enumeration of injective partial transformations
Discrete Math., 73, 291-296, 1989
On strong generalized Hausdorff summability
Acta Math. Hung., 53, 1-2, 95-101, 1989
On relations between weighted mean and power series methods of summability
J. Math. Analysis and Applications, 139, 1, 178-186, 1989
A Tauberian theorem concerning Dirichlet series
Proc. Camb. Phil. Soc., 105, 481-484, 1989
1988
Energy of static electron lattices
J. Math. Phys, 21, 1519-1531, 1988
1989
Analysis of certain lattice sums
J. Math. Analysis and Applications, 143, 1, 126-137, 1989
Tauberian theorems concerning Laplace transforms and Dirichlet series
Arch. Math., 53, 352-362, 1989
1990
An inclusion theorem for Dirichlet series
Canad. Math. Bull., 32(4), 479-481, 1990
Asymptotic relationships between Dirichlet series
J. Math. Analysis and Applications, 147, 2, 604-609, 1990
1991
Fixed point iterations for real functions
J. Math. Analysis and Applications, 157, 1, 112-126, 1991
The non-local nature of the summability of Fourier series by certain absolute Riesz methods
Israel Mathematical Conference Proceedings, 4, 69-72, 1991
1992
Weighted means and summabiltiy by the circle and other methods
J. of Approximation Theory, 68, 1, 49-55, 1992
The non-local nature of the summability of Fourier series by certain absolute Riesz methods
Proc. Amer. Math. Soc., 114, 1, 89-94, 1992
A Tauberian theorem concerning Borel-type and Riesz summability methods
Canad. Math. Bull., 35(1), 14-20, 1992
Tauberian theorems concerning power series with non-negative coefficients
Acta Mathematica Hungarcia, 59, 1-2, 85-89, 1992
1993
Canad. Math. Bull., 36, 1, 8--14, 1993
Generalized Hausdorff and weighted mean matrices as operators on lp
J. Math. Analysis and Applications, 178, 517-528, 1993
1994
An O-Tauberian theorem and a high indices theorem for power series methods of summability
Proc. Camb. Phil. Soc., 115, 365-375, 1994
Weighted means and summability by generalized Nörlund and other methods
J. Math. Analysis and Applications, 184, 607-619, 1994
Canad. Math. Bull., 37, 4, 448-456, 1994
Matrix transformations of power series
Proc. Amer. Math. Soc., 122, 2, 511-523, 1994
On some trigonometric and exponential lattice sums
J. Math. Analysis and Applications, 188, 1, 209-218, 1994
1995
On an intriguing integral and some series related to zeta(4)
Proc. Amer. Math. Soc., 123 (4), 1191-1198, 1995
Explicit evaluation of Euler sums
Proc.Edinburgh Math. Soc., 38, 277-294, 1995
Matrix transformations of series of orthogonal polynomials
Mathematika, 42, 427-443, 1995
1996
Giuga's conjecture on primality
Amer. Math. Monthly, 103(1), 40-50, 1996
Approximate subgradients and coderivatives in Rn
Set- Valued Analysis, 4, 375-398, 1996
1998
Convergence of Madelung-like lattice sums
Trans. Amer. Math. Soc., 350, 3131-3167, 1998
Simple conditions for matrices to be bounded operators on lp
Canad. Math. Bull., 41, 10--14, 1998
A generalization of Hardy's inequality with applications
Communications in Applied Analysis, 2, 309-320, 1998
A high indices Tauberian theorem
Szeged, 64, 143-149, 1998
Matrices that commute with certain Hausdorff matrices
Analysis, 18, 227-244, 1998
1999
Two Tauberian theorems for Dirichlet series methods of summability
Acta. Sci. Math., 65, 139-168, 1999
2000
Canad. Math. Bull., 43, 406-412, 2000
Amer. Math. Monthly, 107, 517-527, 2000
2001
Some remarkable properties of sinc and related integrals
Ramanujan, 5, 73-89, 2001
One-sided Tauberian theorems for Dirichlet series methods of summability
Rocky Mountain J. Math, 31, 797-830, 2001
Refined convexity and special cases of the Blaschke-Santalo inequality
Math. Inequalities and Applications, 4, 631-638, 2001
A miscellany for mathematicians and others
Mathematical Intelligencer , na, 3--4, 2001
2002
Multi-variable sinc integrals and volumes of polyhedra
Ramanujan, 6, 189-208, 2002
2004
A one-sided Tauberian theorem for the Borel summability method
J. Math. Analysis and Applications, 293, 285-292, 2004
Finding and excluding $b$-ary Machin-type individual digit formulae
Canad. J. Math., 56, 897-925, 2004
Meandering in Euler's neighbourhood
CMS Notes, na, 6--7, 2004
2005
Weighted convolution operators on $\ell_p$
Canad. Math. Bull., 48, 175-179, 2005
Bull Amer. Math. Soc, 42, 401-406, 2005
2006
Parametric Euler sum identities
J. Math. Analysis and Applications, 316, 328-338, 2006
2007
On the dynamics of certain recurrence relations
Ramanujan, 13, 63-101, 2007
Van der Pol expansions of L-series
Canad. Math. Bull., 50, 11--23, 2007
Hypergeometric forms for Ising-class integrals
Experiment. Math., 16, 257-276, 2007
2008
The evaluation of Bessel functions via exp-arc integrals
J. Math. Analysis and Applications, 341, 888-901, 2008
Effective Laguerre asymptotics
SIAM J. Numer. Anal., 46, 3285-3312, 2008
Surprising sinc sums and integrals
Amer. Math. Monthly, 115, 888-901, 2008
2010
$L_p$-norms and the sinc function
Amer. Math. Monthly, 117, 528-539, 2010
2011
Moments of Ramanujan's generalized elliptic integrals and extensions of Catalan's constant
Journal of Mathematical Analysis and Applications, 384, 478-496, 2011
2012
Log-sine evaluations of Mahler measures II
Integers, 12A, #A5, 2012
On formulas for $\pi$ experimentally conjectured by Jauregui-Tsallis
Journal of Mathematical Physics, 53, 073708, 2012
American Mathematical Monthly, 119, 535-549, 2012
2013
Criteria for the Sequence of Differences of a Bounded Sequence to be Null
Bulletin of the Australian Mathematical Society, doi:10.1017/S000497271200072X, 2012
2014
On lattice sums and Wigner limits
J Math Anal and Appl, 414(2), 489-513, 15 June 2014 [in press]
On the Solution of Linear Mean Recurrences
Amer. Math. Monthly, 121, 486-498, 2014